4.4 Article

The amplitude for classical gravitational scattering at third Post-Minkowskian order

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 8, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP08(2021)172

Keywords

Scattering Amplitudes; Classical Theories of Gravity; Effective Field Theories

Funding

  1. ANR [ANR-17-CE31-0001-01, ANR-20-CE40-0026-01]
  2. Laboratory of Mirror Symmetry NRU HSE, RF Government [14.641.31.0001]
  3. DFF [0135-00089A]
  4. Carlsberg Foundation
  5. Agence Nationale de la Recherche (ANR) [ANR-20-CE40-0026] Funding Source: Agence Nationale de la Recherche (ANR)

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In this study, we computed the scattering amplitude for classical black-hole scattering to third order in the Post-Minkowskian expansion, confirming a conjectured relation between the real and imaginary parts of the amplitude and agreeing with a recent computation by Damour based on radiation reaction in general relativity.
We compute the scattering amplitude for classical black-hole scattering to third order in the Post-Minkowskian expansion, keeping all terms needed to derive the scattering angle to that order from the eikonal formalism. Our results confirm a conjectured relation between the real and imaginary parts of the amplitude by Di Vecchia, Heissenberg, Russo, and Veneziano, and are in agreement with a recent computation by Damour based on radiation reaction in general relativity.

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